Journal ArticleDOI
Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres
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In this paper, the authors presented a different methodology for modeling the impact between elasto-plastic spheres, and derived a new equation for the initial critical speed which causes initial plastic deformation in the sphere that is different than that shown in previously derived equations and strongly dependant on Poisson's Ratio.Abstract:
The current work presents a different methodology for modeling the impact between elasto-plastic spheres. Recent finite element results modeling the static deformation of an elasto-plastic sphere are used in conjunction with equations for the variation of kinetic energy to obtain predictions for the coefficient of restitution. A model is also needed to predict the residual deformation of the sphere during rebound, or unloading, of which several are available and compared in this work. The model predicts that a significant amount of energy will be dissipated in the form of plastic deformation such that as the speed at initial impact increases, the coefficient of restitution decreases. This work also derives a new equation for the initial critical speed which causes initial plastic deformation in the sphere that is different than that shown in previously derived equations and is strongly dependant on Poisson’s Ratio. For impacts occurring above this speed, the coefficient of restitution will be less than a value of one. This work also compares the predictions between several models that make significantly different predictions. The results of the current model also compare well with some existing experimental data. Empirical fits to the results are provided for use as a tool to predict the coefficient of restitution.read more
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Compliant contact force models in multibody dynamics : evolution of the Hertz contact theory
TL;DR: In this paper, the main issues associated with the most common compliant contact force models of this type are analyzed in terms of the dynamic simulations of multibody systems, which allow for the comparison of the similarities and differences among the models considered.
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On the continuous contact force models for soft materials in multibody dynamics
TL;DR: In this article, a general and comprehensive analysis on the continuous contact force models for soft materials in multibody dynamics is presented throughout this work, and the force models are developed based on the foundation of the Hertz law together with a hysteresis damping parameter that accounts for the energy dissipation during the contact process.
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A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids
TL;DR: In this paper, the authors present a comparative study on the most relevant existing viscoelastic contact force models for simple solid impact problems with the sole purpose of comparing the performance of the various models and examining the corresponding system behavior.
Journal ArticleDOI
An analytical elastic-perfectly plastic contact model
TL;DR: In this paper, a new formulation for elastic-perfectly plastic contact in the normal direction between two round surfaces that is solely based on material properties and contact geometries is developed.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Journal ArticleDOI
Contact of Nominally Flat Surfaces
TL;DR: In this article, the authors proposed a new theory of elastic contact, which is more closely related to real surfaces than earlier theories, and showed how the contact deformation depends on the topography of the surface, and established the criterion for distinguishing surfaces which touch elastically from those which touch plastically.
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An Elastic-Plastic Model for the Contact of Rough Surfaces
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Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
Lior Kogut,Izhak Etsion +1 more
TL;DR: An elastic-plastic finite element model for the frictionless contact of a deformable sphere pressed by a rigid flat is presented in this paper, which provides dimensionless expressions for the contact load, contact area and mean contact pressure, covering a large range of interference values from yielding inception to fully plastic regime of the spherical contact zone.